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- Mon May 18 13:31:10 2020
- Mon May 18 13:31:10 2020
- Mon May 18 13:31:10 2020 Msieve v. 1.53 (SVN 988M)
- Mon May 18 13:31:10 2020 random seeds: 83a73f42 49368054
- Mon May 18 13:31:10 2020 factoring 11022469557530100860728574110512856814719847688019985837929083160479061694076194645761058898986177471282129255302055638750268886007861695521835386672686271 (155 digits)
- Mon May 18 13:31:12 2020 searching for 15-digit factors
- Mon May 18 13:31:12 2020 commencing number field sieve (155-digit input)
- Mon May 18 13:31:12 2020 R0: -549794677649169917081450950638
- Mon May 18 13:31:12 2020 R1: 6190461040814261
- Mon May 18 13:31:12 2020 A0: 5984908604839854640003565138673519967
- Mon May 18 13:31:12 2020 A1: 16472517724862793179315641599940
- Mon May 18 13:31:12 2020 A2: -15189421885580833220719897
- Mon May 18 13:31:12 2020 A3: -3552822977523726976
- Mon May 18 13:31:12 2020 A4: 1833890569314
- Mon May 18 13:31:12 2020 A5: 219420
- Mon May 18 13:31:12 2020 skew 2861515.96, size 5.336e-15, alpha -6.633, combined = 3.045e-12 rroots = 5
- Mon May 18 13:31:12 2020
- Mon May 18 13:31:12 2020 commencing relation filtering
- Mon May 18 13:31:12 2020 setting target matrix density to 100.0
- Mon May 18 13:31:12 2020 estimated available RAM is 32768.0 MB
- Mon May 18 13:31:12 2020 commencing duplicate removal, pass 1
- Mon May 18 13:35:53 2020 found 1989676 hash collisions in 47570632 relations
- Mon May 18 13:36:14 2020 added 121698 free relations
- Mon May 18 13:36:14 2020 commencing duplicate removal, pass 2
- Mon May 18 13:36:24 2020 found 0 duplicates and 47692330 unique relations
- Mon May 18 13:36:24 2020 memory use: 130.6 MB
- Mon May 18 13:36:24 2020 reading ideals above 720000
- Mon May 18 13:36:24 2020 commencing singleton removal, initial pass
- Mon May 18 13:40:41 2020 memory use: 1378.0 MB
- Mon May 18 13:40:41 2020 reading all ideals from disk
- Mon May 18 13:41:22 2020 memory use: 1699.2 MB
- Mon May 18 13:41:24 2020 keeping 45857912 ideals with weight <= 200, target excess is 256148
- Mon May 18 13:41:28 2020 commencing in-memory singleton removal
- Mon May 18 13:41:30 2020 begin with 47692330 relations and 45857912 unique ideals
- Mon May 18 13:41:58 2020 reduce to 28354750 relations and 24310595 ideals in 14 passes
- Mon May 18 13:41:58 2020 max relations containing the same ideal: 148
- Mon May 18 13:42:07 2020 removing 2571965 relations and 2171965 ideals in 400000 cliques
- Mon May 18 13:42:08 2020 commencing in-memory singleton removal
- Mon May 18 13:42:09 2020 begin with 25782785 relations and 24310595 unique ideals
- Mon May 18 13:42:21 2020 reduce to 25611197 relations and 21964007 ideals in 8 passes
- Mon May 18 13:42:21 2020 max relations containing the same ideal: 140
- Mon May 18 13:42:30 2020 removing 1941510 relations and 1541510 ideals in 400000 cliques
- Mon May 18 13:42:30 2020 commencing in-memory singleton removal
- Mon May 18 13:42:31 2020 begin with 23669687 relations and 21964007 unique ideals
- Mon May 18 13:42:43 2020 reduce to 23558856 relations and 20309891 ideals in 8 passes
- Mon May 18 13:42:43 2020 max relations containing the same ideal: 130
- Mon May 18 13:42:51 2020 removing 1747365 relations and 1347365 ideals in 400000 cliques
- Mon May 18 13:42:51 2020 commencing in-memory singleton removal
- Mon May 18 13:42:52 2020 begin with 21811491 relations and 20309891 unique ideals
- Mon May 18 13:43:03 2020 reduce to 21712391 relations and 18861940 ideals in 8 passes
- Mon May 18 13:43:03 2020 max relations containing the same ideal: 125
- Mon May 18 13:43:10 2020 removing 1645451 relations and 1245451 ideals in 400000 cliques
- Mon May 18 13:43:10 2020 commencing in-memory singleton removal
- Mon May 18 13:43:11 2020 begin with 20066940 relations and 18861940 unique ideals
- Mon May 18 13:43:21 2020 reduce to 19973181 relations and 17521231 ideals in 8 passes
- Mon May 18 13:43:21 2020 max relations containing the same ideal: 119
- Mon May 18 13:43:27 2020 removing 1584232 relations and 1184232 ideals in 400000 cliques
- Mon May 18 13:43:28 2020 commencing in-memory singleton removal
- Mon May 18 13:43:28 2020 begin with 18388949 relations and 17521231 unique ideals
- Mon May 18 13:43:35 2020 reduce to 18295650 relations and 16242060 ideals in 6 passes
- Mon May 18 13:43:35 2020 max relations containing the same ideal: 110
- Mon May 18 13:43:41 2020 removing 1543925 relations and 1143925 ideals in 400000 cliques
- Mon May 18 13:43:41 2020 commencing in-memory singleton removal
- Mon May 18 13:43:42 2020 begin with 16751725 relations and 16242060 unique ideals
- Mon May 18 13:43:50 2020 reduce to 16656735 relations and 15001344 ideals in 8 passes
- Mon May 18 13:43:50 2020 max relations containing the same ideal: 103
- Mon May 18 13:43:55 2020 removing 1516193 relations and 1116193 ideals in 400000 cliques
- Mon May 18 13:43:55 2020 commencing in-memory singleton removal
- Mon May 18 13:43:56 2020 begin with 15140542 relations and 15001344 unique ideals
- Mon May 18 13:44:02 2020 reduce to 15040895 relations and 13783516 ideals in 7 passes
- Mon May 18 13:44:02 2020 max relations containing the same ideal: 99
- Mon May 18 13:44:07 2020 removing 1501489 relations and 1101489 ideals in 400000 cliques
- Mon May 18 13:44:08 2020 commencing in-memory singleton removal
- Mon May 18 13:44:08 2020 begin with 13539406 relations and 13783516 unique ideals
- Mon May 18 13:44:14 2020 reduce to 13433506 relations and 12573852 ideals in 8 passes
- Mon May 18 13:44:14 2020 max relations containing the same ideal: 95
- Mon May 18 13:44:19 2020 removing 1490943 relations and 1090943 ideals in 400000 cliques
- Mon May 18 13:44:19 2020 commencing in-memory singleton removal
- Mon May 18 13:44:20 2020 begin with 11942563 relations and 12573852 unique ideals
- Mon May 18 13:44:24 2020 reduce to 11826395 relations and 11363880 ideals in 7 passes
- Mon May 18 13:44:24 2020 max relations containing the same ideal: 85
- Mon May 18 13:44:28 2020 removing 734181 relations and 568798 ideals in 165383 cliques
- Mon May 18 13:44:28 2020 commencing in-memory singleton removal
- Mon May 18 13:44:29 2020 begin with 11092214 relations and 11363880 unique ideals
- Mon May 18 13:44:33 2020 reduce to 11063334 relations and 10765826 ideals in 6 passes
- Mon May 18 13:44:33 2020 max relations containing the same ideal: 80
- Mon May 18 13:44:37 2020 relations with 0 large ideals: 837
- Mon May 18 13:44:37 2020 relations with 1 large ideals: 2919
- Mon May 18 13:44:37 2020 relations with 2 large ideals: 43083
- Mon May 18 13:44:37 2020 relations with 3 large ideals: 295636
- Mon May 18 13:44:37 2020 relations with 4 large ideals: 1079863
- Mon May 18 13:44:37 2020 relations with 5 large ideals: 2325233
- Mon May 18 13:44:37 2020 relations with 6 large ideals: 3076972
- Mon May 18 13:44:37 2020 relations with 7+ large ideals: 4238791
- Mon May 18 13:44:37 2020 commencing 2-way merge
- Mon May 18 13:44:42 2020 reduce to 7141758 relation sets and 6844250 unique ideals
- Mon May 18 13:44:42 2020 commencing full merge
- Mon May 18 13:46:37 2020 memory use: 871.3 MB
- Mon May 18 13:46:39 2020 found 3415624 cycles, need 3378450
- Mon May 18 13:46:39 2020 weight of 3378450 cycles is about 337981049 (100.04/cycle)
- Mon May 18 13:46:39 2020 distribution of cycle lengths:
- Mon May 18 13:46:39 2020 1 relations: 196508
- Mon May 18 13:46:39 2020 2 relations: 267582
- Mon May 18 13:46:39 2020 3 relations: 300453
- Mon May 18 13:46:39 2020 4 relations: 297789
- Mon May 18 13:46:39 2020 5 relations: 294509
- Mon May 18 13:46:39 2020 6 relations: 284296
- Mon May 18 13:46:39 2020 7 relations: 269256
- Mon May 18 13:46:39 2020 8 relations: 248929
- Mon May 18 13:46:39 2020 9 relations: 225135
- Mon May 18 13:46:39 2020 10+ relations: 993993
- Mon May 18 13:46:39 2020 heaviest cycle: 24 relations
- Mon May 18 13:46:40 2020 commencing cycle optimization
- Mon May 18 13:46:46 2020 start with 24898608 relations
- Mon May 18 13:47:35 2020 pruned 971691 relations
- Mon May 18 13:47:35 2020 memory use: 714.6 MB
- Mon May 18 13:47:35 2020 distribution of cycle lengths:
- Mon May 18 13:47:35 2020 1 relations: 196508
- Mon May 18 13:47:35 2020 2 relations: 274710
- Mon May 18 13:47:35 2020 3 relations: 313488
- Mon May 18 13:47:35 2020 4 relations: 309921
- Mon May 18 13:47:35 2020 5 relations: 308364
- Mon May 18 13:47:35 2020 6 relations: 296010
- Mon May 18 13:47:35 2020 7 relations: 280309
- Mon May 18 13:47:35 2020 8 relations: 257289
- Mon May 18 13:47:35 2020 9 relations: 231186
- Mon May 18 13:47:35 2020 10+ relations: 910665
- Mon May 18 13:47:35 2020 heaviest cycle: 23 relations
- Mon May 18 13:47:44 2020 RelProcTime: 992
- Mon May 18 13:47:44 2020
- Mon May 18 13:47:44 2020 commencing linear algebra
- Mon May 18 13:47:45 2020 read 3378450 cycles
- Mon May 18 13:47:50 2020 cycles contain 10903562 unique relations
- Mon May 18 13:48:32 2020 read 10903562 relations
- Mon May 18 13:48:47 2020 using 20 quadratic characters above 4294917295
- Mon May 18 13:49:25 2020 building initial matrix
- Mon May 18 13:51:01 2020 memory use: 1480.3 MB
- Mon May 18 13:51:04 2020 read 3378450 cycles
- Mon May 18 13:51:04 2020 matrix is 3378273 x 3378450 (1355.5 MB) with weight 416268810 (123.21/col)
- Mon May 18 13:51:04 2020 sparse part has weight 318168696 (94.18/col)
- Mon May 18 13:51:30 2020 filtering completed in 2 passes
- Mon May 18 13:51:30 2020 matrix is 3378065 x 3378242 (1355.5 MB) with weight 416259977 (123.22/col)
- Mon May 18 13:51:30 2020 sparse part has weight 318165999 (94.18/col)
- Mon May 18 13:52:08 2020 matrix starts at (0, 0)
- Mon May 18 13:52:09 2020 matrix is 3378065 x 3378242 (1355.5 MB) with weight 416259977 (123.22/col)
- Mon May 18 13:52:09 2020 sparse part has weight 318165999 (94.18/col)
- Mon May 18 13:52:09 2020 saving the first 48 matrix rows for later
- Mon May 18 13:52:09 2020 matrix includes 64 packed rows
- Mon May 18 13:52:09 2020 matrix is 3378017 x 3378242 (1315.7 MB) with weight 347428993 (102.84/col)
- Mon May 18 13:52:09 2020 sparse part has weight 311126046 (92.10/col)
- Mon May 18 13:52:09 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Mon May 18 13:52:24 2020 commencing Lanczos iteration (16 threads)
- Mon May 18 13:52:24 2020 memory use: 1073.4 MB
- Mon May 18 13:52:27 2020 linear algebra at 0.0%, ETA 1h51m
- Mon May 18 13:52:28 2020 checkpointing every 1830000 dimensions
- Mon May 18 15:23:16 2020 lanczos halted after 53414 iterations (dim = 3378016)
- Mon May 18 15:23:19 2020 recovered 28 nontrivial dependencies
- Mon May 18 15:23:20 2020 BLanczosTime: 5736
- Mon May 18 15:23:20 2020
- Mon May 18 15:23:20 2020 commencing square root phase
- Mon May 18 15:23:20 2020 handling dependencies 1 to 64
- Mon May 18 15:23:20 2020 reading relations for dependency 1
- Mon May 18 15:23:22 2020 read 1689607 cycles
- Mon May 18 15:23:25 2020 cycles contain 5455178 unique relations
- Mon May 18 15:23:47 2020 read 5455178 relations
- Mon May 18 15:24:07 2020 multiplying 5455178 relations
- Mon May 18 15:27:57 2020 multiply complete, coefficients have about 290.62 million bits
- Mon May 18 15:27:58 2020 initial square root is modulo 164039
- Mon May 18 15:32:27 2020 sqrtTime: 547
- Mon May 18 15:32:27 2020 p75 factor: 577580548549928996334452700267486587507628777071905406152114978487301102401
- Mon May 18 15:32:27 2020 p80 factor: 19083865592778463531480146784958605609954338879407288340769080640372604124495871
- Mon May 18 15:32:27 2020 elapsed time 02:01:17
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